摘要
近年来矩阵的共轭相似受到人们越来越多的关注与研究.文章[1][2][3]研究了矩阵共轭相似的性质和各种标准形.共轭对合矩阵在共轭相似中有着重要的作用.本文我们研究了共轭对合矩阵在相似下的若当标准形,以及矩阵到共轭对合矩阵的分解.
In the paper we discuss the Jordan canonical forms of conjugate involution under similarity, and prove sufficient and necessary condition for matrix to be decomposed into products of two and four conjugate involutions.
